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Is the Following Statement True and False : If One Angle of a Triangle is Obtuse, Then It Cannot Be a Right Angled Triangle. - Mathematics

MCQ
True or False

Is the following statement true and false :

If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

Options

  • Ture

  • False

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Solution

If one angle of a triangle is obtuse, then it cannot be a right angles triangle.

According to the angle sum property of the triangle

In ΔABC

∠A +∠B + ∠C = 180°

Now, if it is a right angled triangle

Then, 

∠A + ∠B + ∠C = 180°

90° + ∠B + ∠C =180°

∠B +∠C = 90°

Also if one of the angle’s is obtuse

∠B +∠C > 90°

This is not possible.

Thus, if one angle of a triangle is obtuse, then it cannot be a right angled triangle.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 11 Triangle and its Angles
Exercise 11.2 | Q 6.08 | Page 21
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